Podcast
Questions and Answers
What is a variable?
What is a variable?
- A type of algebraic expression.
- A quantity represented by a letter that can take different values. (correct)
- A fixed number in an equation.
- An expression that equals zero.
What is an algebraic expression?
What is an algebraic expression?
An expression that contains at least one variable and does not contain an equal sign.
What is a term in an algebraic expression?
What is a term in an algebraic expression?
Part of an algebraic expression that can be a number, a variable, or a product of both.
What does it mean to evaluate an expression?
What does it mean to evaluate an expression?
What does it mean to substitute in an algebraic expression?
What does it mean to substitute in an algebraic expression?
What does it mean to simplify an expression?
What does it mean to simplify an expression?
What are like terms?
What are like terms?
What is a coefficient?
What is a coefficient?
What are equivalent expressions?
What are equivalent expressions?
What does it mean to expand an expression?
What does it mean to expand an expression?
What does it mean to factor an expression?
What does it mean to factor an expression?
What is the sum?
What is the sum?
What is the difference?
What is the difference?
What is the product?
What is the product?
What is the quotient?
What is the quotient?
Flashcards are hidden until you start studying
Study Notes
Algebraic Expressions Overview
- Variable: A letter representing a quantity that can change. Example: In "2x + 1", x is a variable.
- Algebraic Expression: An expression containing at least one variable and no equal sign. Examples include "3y - 2" and "4y".
Key Components of Algebraic Expressions
- Term: A part of an algebraic expression, which can be a number, a variable, or a combination of both. Example: In "2x + 14", terms are 2x and 14.
- Coefficient: The numerical factor in a term of an expression. Example: In "8z", the coefficient is 8.
- Like Terms: Terms that share the same variables and corresponding exponents. They can be combined. Example: In "2x + 4 + x + 1", 2x and x are like terms.
Operations with Algebraic Expressions
- Evaluate: The process of finding the value of an expression.
- Substitute: Replacing a variable with a specific number.
- Simplify: Writing an equivalent expression by combining like terms.
Expression Relationships
- Equivalent Expressions: Expressions that are equal for all values of the variables. Example: "5x + 7x" and "12x" are equivalent.
- Expand: Writing an expression without parentheses. Example: 4(y + 1) becomes 4y + 4.
- Factor: Writing an expression that uses parentheses. Example: 4x + 4 can be factored to 4(x + 1).
Basic Mathematical Terms
- Sum: The result of an addition problem.
- Difference: The result of a subtraction problem.
- Product: The result of a multiplication problem.
- Quotient: The result of a division problem.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
